the value of root three is given already so the question is asking you to round it of to the nearest 1000 which means there should be three numbers after the decimal point.
You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.
When you factor the expression, you get ...
This reveals a common factor of x+1.
So, the above three observations are true of this rational expression.